Concept:
Biological classification arranges organisms in a hierarchical system from broader categories to more specific categories. The taxonomic hierarchy is generally:
\[
Kingdom \rightarrow Phylum \rightarrow Class \rightarrow Order \rightarrow Family \rightarrow Genus \rightarrow Species
\]
Each category helps in organizing organisms according to similarities and evolutionary relationships. To solve matching questions, we identify the correct taxonomic level associated with each biological term.
Step 1: Identify Family.
Family is a taxonomic category placed above genus and below order.
Among the given terms:
Anacardiaceae
is a family. Therefore,
\[
A \rightarrow III
\]
Step 2: Identify Genus.
Genus is a group of closely related species.
The term
Mangifera
belongs to genus classification (example: Mango belongs to genus Mangifera). Therefore,
\[
B \rightarrow V
\]
Step 3: Identify Class.
Class is a category above order and below phylum/division.
The term
Dicotyledonae
represents a class of flowering plants having two cotyledons. Hence,
\[
C \rightarrow II
\]
Step 4: Identify Phylum.
Phylum (or Division in plants) is a major category below kingdom.
The term
Angiospermae
belongs to a major plant division/phylum containing flowering plants. Therefore,
\[
D \rightarrow IV
\]
Step 5: Identify Order.
Order is a taxonomic rank between class and family.
The term
Sapindales
is a plant order. Hence,
\[
E \rightarrow I
\]
Step 6: Final arrangement.
Thus we obtain
\[
A-III,\; B-V,\; C-II,\; D-IV,\; E-I
\]
which exactly matches option (1).
\[
\boxed{\text{Correct Answer = Option (1)}}
\]